Search a number
-
+
4230523520 = 27511515743
BaseRepresentation
bin1111110000101000…
…1010101010000000
3101220211110212021022
43330022022222000
532131003223040
61535442445012
7206556566546
oct37412125200
911824425238
104230523520
111881024a33
129a0963768
13525605072
142c1bddd96
1519b60d6b5
hexfc28aa80

4230523520 has 64 divisors (see below), whose sum is σ = 10124144640. Its totient is φ = 1690444800.

The previous prime is 4230523513. The next prime is 4230523537. The reversal of 4230523520 is 253250324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4230523520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733769 + ... + 739511.

It is an arithmetic number, because the mean of its divisors is an integer number (158189760).

Almost surely, 24230523520 is an apocalyptic number.

4230523520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062072320).

4230523520 is an abundant number, since it is smaller than the sum of its proper divisors (5893621120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4230523520 is a wasteful number, since it uses less digits than its factorization.

4230523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 4230523520 is about 65042.4747376666. The cubic root of 4230523520 is about 1617.3277490966.

Adding to 4230523520 its reverse (253250324), we get a palindrome (4483773844).

The spelling of 4230523520 in words is "four billion, two hundred thirty million, five hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1151 2302 4604 5743 5755 9208 11486 11510 18416 22972 23020 28715 36832 45944 46040 57430 73664 91888 92080 114860 147328 183776 184160 229720 367552 368320 459440 735104 736640 918880 1837760 3675520 6610193 13220386 26440772 33050965 52881544 66101930 105763088 132203860 211526176 264407720 423052352 528815440 846104704 1057630880 2115261760 4230523520